Atkin-Lehner |
2+ 3+ 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19950j |
Isogeny class |
Conductor |
19950 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
130310208000000 = 212 · 37 · 56 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- -6 4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-25375,1445125] |
[a1,a2,a3,a4,a6] |
j |
115650783909361/8339853312 |
j-invariant |
L |
1.1467551330743 |
L(r)(E,1)/r! |
Ω |
0.57337756653716 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59850fj1 798h1 |
Quadratic twists by: -3 5 |